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[null,null,null,null,"SIMPLIFY AND CONVERT FRACTIONS"]
[null,"Simplifying Proper & Improper Fractions/Mixed Numerals"]
[]
[null,null,"INSTRUCTIONS"]
[]
[null,"Step 1","Click to select the HCF (Highest Common Factor) to be used for this sheet."]
[]
[null,null,null,null,null,null,null,null,"NOTES"]
[null,null,null,null,null,null,null,null,"* Some questions have improper fractions "]
[null,null,null,null,null,null,null,null,"   although the answer must be a mixed number"]
[null,null,null,null,null,null,null,null,"* Subtractions usually have a proper fraction answer."]
[null,null,null,null,null,null,null,null,"* Because the WorkSheet is random generated not all multiples will occur."]
[null,"Step 2","Click to select the type of operation.",null,null,null,null,null,"IMPORTANT"]
[null,null,null,null,null,null,null,null,"The answers show prime factors. It is understood that when the HCF is, for example,"]
[null,null,null,null,null,null,null,null,"2 × 2 × 3 you could have divided by each of these, or, by 4 & 3, or by 1 & 6, or by 12."]
[]
[]
[]
[null,"Step 3","Click on WorkSheet tab below.",null,null,null,null,null,"PRESS F9 for NEW WorkSheet"]
[]
[null,"Note","If you click on the WorkSheet tab then hold down shift and click on the Solutions tab, you will be able to print both the WorkSheet and the solutions."]

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[{"$f":"IF(B26=\"\",\"\",\"=\")","v":""},{"$f":"Working!W6","v":"HCF = 2×2×2"},null,null,null,null,{"$f":"IF(H26=\"\",\"\",\"=\")","v":""},{"$f":"Working!$W11","v":"HCF = 2×2×2"},null,null,null,null,{"$f":"IF(N26=\"\",\"\",\"=\")","v":""},{"$f":"Working!W16","v":"HCF = 2×2×2"},null,null,null,null,{"$f":"IF(T26=\"\",\"\",\"=\")","v":""},{"$f":"Working!$W21","v":"HCF = 2×2×3"}]
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[null,null,{"$f":"Working!$T7","v":12},null,null,null,null,null,{"$f":"Working!$T12","v":12},null,null,null,null,null,{"$f":"Working!$T17","v":12},null,null,null,null,null,{"$f":"Working!$T22","v":81}]
[{"$f":"IF(B35=\"\",\"\",\"=\")","v":""},{"$f":"Working!W7","v":"HCF = 2×2"},null,null,null,null,{"$f":"IF(H35=\"\",\"\",\"=\")","v":""},{"$f":"Working!$W12","v":"HCF = 2×3"},null,null,null,null,{"$f":"IF(N35=\"\",\"\",\"=\")","v":""},{"$f":"Working!$W17","v":"HCF = 2×2"},null,null,null,null,{"$f":"IF(T35=\"\",\"\",\"=\")","v":""},{"$f":"Working!$W22","v":"HCF = 3×3"}]
[null,{"$f":"Working!$X7","v":""},null,null,null,null,null,{"$f":"Working!$X12","v":""},null,null,null,null,null,{"$f":"Working!$X17","v":""},null,null,null,null,null,{"$f":"Working!$X22","v":""}]
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[{"$f":"IF(C38=\"\",\"\",\"=\")","v":"="},{"$f":"Working!$AA7","v":1},{"$f":"Working!$AB7","v":2},null,null,null,{"$f":"IF(I38=\"\",\"\",\"=\")","v":"="},{"$f":"Working!$AA12","v":2},{"$f":"Working!$AB12","v":1},null,null,null,{"$f":"IF(O38=\"\",\"\",\"=\")","v":"="},{"$f":"Working!$AA17","v":1},{"$f":"Working!$AB17","v":2},null,null,null,{"$f":"IF(U38=\"\",\"\",\"=\")","v":"="},{"$f":"Working!$AA22","v":1},{"$f":"Working!$AB22","v":4}]
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[{"$f":"CONCATENATE(Working!$A8,\")\")","v":"5)"},{"$f":"Working!$R8","v":""},{"$f":"Working!$S8","v":264},null,null,null,{"$f":"CONCATENATE(Working!$A13,\")\")","v":"10)"},{"$f":"Working!$R13","v":""},{"$f":"Working!$S13","v":330},null,null,null,{"$f":"CONCATENATE(Working!$A18,\")\")","v":"15)"},{"$f":"Working!$R18","v":""},{"$f":"Working!$S18","v":198},null,null,null,{"$f":"CONCATENATE(Working!$A23,\")\")","v":"20)"},{"$f":"Working!$R23","v":""},{"$f":"Working!$S23","v":225}]
[null,null,{"$f":"Working!$T8","v":144},null,null,null,null,null,{"$f":"Working!$T13","v":150},null,null,null,null,null,{"$f":"Working!$T18","v":54},null,null,null,null,null,{"$f":"Working!$T23","v":105}]
[{"$f":"IF(B44=\"\",\"\",\"=\")","v":""},{"$f":"Working!W8","v":"HCF = 2×2×2×3"},null,null,null,null,{"$f":"IF(H44=\"\",\"\",\"=\")","v":""},{"$f":"Working!$W13","v":"HCF = 2×3×5"},null,null,null,null,{"$f":"IF(N44=\"\",\"\",\"=\")","v":""},{"$f":"Working!$W18","v":"HCF = 2×3×3"},null,null,null,null,{"$f":"IF(T44=\"\",\"\",\"=\")","v":""},{"$f":"Working!$W23","v":"HCF = 3×5"}]
[null,{"$f":"Working!$X8","v":""},null,null,null,null,null,{"$f":"Working!$X13","v":""},null,null,null,null,null,{"$f":"Working!$X18","v":""},null,null,null,null,null,{"$f":"Working!$X23","v":""}]
["=",null,{"$f":"Working!$Y8","v":11},null,null,null,"=",null,{"$f":"Working!$Y13","v":11},null,null,null,"=",null,{"$f":"Working!$Y18","v":11},null,null,null,"=",null,{"$f":"Working!$Y23","v":15}]
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[null,null,{"$f":"Working!$AC8","v":6},null,null,null,null,null,{"$f":"Working!$AC13","v":5},null,null,null,null,null,{"$f":"Working!$AC18","v":3},null,null,null,null,null,{"$f":"Working!$AC23","v":7}]

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[{"$f":"INT(900*RAND()+100)","v":746},{"$f":"TEXT(A1,0)","v":"746"},null,"FPI - ",null,null,"Factors",null,null,2,null,"Type","IMPROPER FRACTIONS TO MIXED NUMERALS"]
[null,null,null,null,null,null,null,null,null,null,null,null,"Rewrite the following as simplified mixed numerals;",null,"Simplify the following;"]
[null,null,null,null,null,"GCD","Num","Denom",null,"HCF",null,"b","c",null,"a","Question","Answer","X","Y","Z","Improper","Prime HCF","L","M","V","W","P","Q","R",null,null,null,"W","Prime HCF"]
[1,1,{"$f":"IF($I$1=1,INT(2*RAND()),IF($I$1=2,INT(3*RAND()),INT(5*RAND())))","v":3},{"$f":"INT(9*RAND()+2)","v":9},{"$f":"RANDBETWEEN(1,D4-1)","v":1},{"$f":"GCD(D4,E4)","v":1},{"$f":"E4/F4","v":1},{"$f":"D4/F4","v":9},{"$f":"IF($J$1=1,RANDBETWEEN(1,6),IF($J$1=2,RANDBETWEEN(1,14),RANDBETWEEN(1,19)))","v":1},{"$f":"OFFSET(AI4,0,I4)","v":2},{"$f":"G4*J4","v":2},{"$f":"H4*J4","v":18},{"$f":"IF($B4=0,\"\",RANDBETWEEN(1,3))","v":3},{"$f":"G4+M4*H4","v":28},{"$f":"IF($B4=0,K4,M4*L4+K4)","v":56},{"$f":"IF($B4=0,CONCATENATE($K4,\"/\",$L4),CONCATENATE($O4,\"/\",$L4))","v":"56/18"},{"$f":"IF($B4=0,CONCATENATE($G4,\"/\",$H4),CONCATENATE($M4,\" \",$G4,\"/\",$H4))","v":"3 1/9"},{"$f":"IF(B4=2,M4,\"\")","v":""},{"$f":"IF(B4=2,G4,O4)","v":56},{"$f":"IF(B4=2,H4,L4)","v":18},{"$f":"CONCATENATE(H4,\" × \",M4,\" + \",G4)","v":"9 × 3 + 1"},{"$f":"OFFSET(BD4,0,I4)","v":2},{"$f":"IF(B4=2,U4,CONCATENATE(\"HCF = \",V4))","v":"HCF = 2"},{"$f":"IF(B4=2,H4,\"\")","v":""},{"$f":"IF(B4=0,G4,G4+H4*M4)","v":28},{"$f":"H4","v":9},{"$f":"IF($B4=1,M4,\"\")","v":3},{"$f":"IF($B4=1,G4,\"\")","v":1},{"$f":"IF($B4=1,H4,\"\")","v":9},null,null,null,{"$f":"IF(B4=2,H4,\"\")","v":""},{"$f":"OFFSET(BD4,0,I4)","v":2},null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[2,1,2,{"$f":"INT(9*RAND()+2)","v":7},{"$f":"RANDBETWEEN(1,D5-1)","v":1},{"$f":"GCD(D5,E5)","v":1},{"$f":"E5/F5","v":1},{"$f":"D5/F5","v":7},{"$f":"IF($J$1=1,RANDBETWEEN(1,6),IF($J$1=2,RANDBETWEEN(1,14),RANDBETWEEN(1,19)))","v":12},30,30,{"$f":"H5*J5","v":210},{"$f":"IF($B5=0,\"\",RANDBETWEEN(1,3))","v":3},{"$f":"G5+M5*H5","v":22},{"$f":"IF($B5=0,K5,M5*L5+K5)","v":660},"660/210",{"$f":"IF($B5=0,CONCATENATE($G5,\"/\",$D5),CONCATENATE($M5,\" \",$G5,\"/\",$D5))","v":"3 1/7"},{"$f":"IF(B5=2,M5,\"\")","v":""},{"$f":"IF(B5=2,G5,O5)","v":660},{"$f":"IF(B5=2,H5,L5)","v":210},{"$f":"CONCATENATE(H5,\" × \",M5,\" + \",G5)","v":"7 × 3 + 1"},{"$f":"OFFSET(BD5,0,I5)","v":"2×3×5"},{"$f":"IF(B5=2,U5,CONCATENATE(\"HCF = \",V5))","v":"HCF = 2×3×5"},{"$f":"IF(B5=2,H5,\"\")","v":""},{"$f":"IF(B5=0,G5,G5+H5*M5)","v":22},{"$f":"H5","v":7},{"$f":"IF($B5=1,M5,\"\")","v":3},{"$f":"IF($B5=1,G5,\"\")","v":1},{"$f":"IF($B5=1,H5,\"\")","v":7},null,null,null,{"$f":"IF(B5=2,H5,\"\")","v":""},"2×3×5",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[3,1,1,7,4,1,4,7,3,8,32,56,2,18,144,"144/56","2 4/7","",144,56,"7 × 2 + 4","2×2×2","HCF = 2×2×2","",18,7,2,4,7,null,null,null,"","2×2×2",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[4,1,2,6,4,2,2,3,2,4,8,12,1,5,20,"20/12","1 2/6","",20,12,"3 × 1 + 2","2×2","HCF = 2×2","",5,3,1,2,3,null,null,null,"","2×2",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[5,1,2,6,5,1,5,6,14,24,120,144,1,11,264,"264/144","1 5/6","",264,144,"6 × 1 + 5","2×2×2×3","HCF = 2×2×2×3","",11,6,1,5,6,null,null,null,"","2×2×2×3",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[6,1,2,8,5,1,5,8,5,10,50,80,2,21,210,"210/80","2 5/8","",210,80,"8 × 2 + 5","2×5","HCF = 2×5","",21,8,2,5,8,null,null,null,"","2×5",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[7,1,2,9,8,1,8,9,12,30,240,270,1,17,510,"510/270","1 8/9","",510,270,"9 × 1 + 8","2×3×5","HCF = 2×3×5","",17,9,1,8,9,null,null,null,"","2×3×5",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[8,1,3,8,1,1,1,8,3,8,8,64,2,17,136,"136/64","2 1/8","",136,64,"8 × 2 + 1","2×2×2","HCF = 2×2×2","",17,8,2,1,8,null,null,null,"","2×2×2",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[9,1,3,4,2,2,1,2,8,6,6,12,2,5,30,"30/12","2 1/4","",30,12,"2 × 2 + 1","2×3","HCF = 2×3","",5,2,2,1,2,null,null,null,"","2×3",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[10,1,2,10,2,2,1,5,12,30,30,150,2,11,330,"330/150","2 1/10","",330,150,"5 × 2 + 1","2×3×5","HCF = 2×3×5","",11,5,2,1,5,null,null,null,"","2×3×5",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[11,1,2,6,3,3,1,2,8,6,6,12,1,3,18,"18/12","1 1/6","",18,12,"2 × 1 + 1","2×3","HCF = 2×3","",3,2,1,1,2,null,null,null,"","2×3",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[12,1,3,5,2,1,2,5,12,30,60,150,2,12,360,"360/150","2 2/5","",360,150,"5 × 2 + 2","2×3×5","HCF = 2×3×5","",12,5,2,2,5,null,null,null,"","2×3×5",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[13,1,2,4,1,1,1,4,3,8,8,32,1,5,40,"40/32","1 1/4","",40,32,"4 × 1 + 1","2×2×2","HCF = 2×2×2","",5,4,1,1,4,null,null,null,"","2×2×2",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[14,1,0,3,2,1,2,3,2,4,8,12,1,5,20,"20/12","1 2/3","",20,12,"3 × 1 + 2","2×2","HCF = 2×2","",5,3,1,2,3,null,null,null,"","2×2",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[15,1,1,6,4,2,2,3,13,18,36,54,3,11,198,"198/54","3 2/6","",198,54,"3 × 3 + 2","2×3×3","HCF = 2×3×3","",11,3,3,2,3,null,null,null,"","2×3×3",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[16,1,1,8,4,4,1,2,5,10,10,20,2,5,50,"50/20","2 1/8","",50,20,"2 × 2 + 1","2×5","HCF = 2×5","",5,2,2,1,2,null,null,null,"","2×5",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[17,1,2,3,1,1,1,3,14,24,24,72,3,10,240,"240/72","3 1/3","",240,72,"3 × 3 + 1","2×2×2×3","HCF = 2×2×2×3","",10,3,3,1,3,null,null,null,"","2×2×2×3",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[18,1,0,3,2,1,2,3,10,12,24,36,3,11,132,"132/36","3 2/3","",132,36,"3 × 3 + 2","2×2×3","HCF = 2×2×3","",11,3,3,2,3,null,null,null,"","2×2×3",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[19,1,0,9,4,1,4,9,9,9,36,81,1,13,117,"117/81","1 4/9","",117,81,"9 × 1 + 4","3×3","HCF = 3×3","",13,9,1,4,9,null,null,null,"","3×3",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]
[20,1,1,7,1,1,1,7,11,15,15,105,2,15,225,"225/105","2 1/7","",225,105,"7 × 2 + 1","3×5","HCF = 3×5","",15,7,2,1,7,null,null,null,"","3×5",null,2,4,8,5,10,20,3,6,9,12,15,30,18,24,7,14,21,11,22,null,null,2,"2×2","2×2×2",5,"2×5","2×2×5",3,"2×3","3×3","2×2×3","3×5","2×3×5","2×3×3","2×2×2×3",7,"2×7","3×7",11,"2×11"]